What is the Least Common Multiple of 73966 and 73981?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 73966 and 73981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73966 and 73981, than apply into the LCM equation.

GCF(73966,73981) = 1
LCM(73966,73981) = ( 73966 × 73981) / 1
LCM(73966,73981) = 5472078646 / 1
LCM(73966,73981) = 5472078646

Least Common Multiple (LCM) of 73966 and 73981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73966 and 73981. First we will calculate the prime factors of 73966 and 73981.

Prime Factorization of 73966

Prime Factorization of 73981

Now multiplying the highest exponent prime factors to calculate the LCM of 73966 and 73981.

LCM(73966,73981) = 2¹ × 31¹ × 1193¹ × 167¹ × 443¹
LCM(73966,73981) = 5472078646